J4 ›› 2012, Vol. 47 ›› Issue (4): 80-83.

• Articles • Previous Articles     Next Articles

Lipschitz estimates for commutators of oscillatory integral operators

DU Hong-shan, ZHANG Lei*   

  1. School of Sciences, Linyi University, Linyi 276005, Shandong, China
  • Received:2011-04-08 Online:2012-04-20 Published:2012-06-28

Abstract:

The boundedness of commutators formed by oscillatory integral operators and Lipschitz functions is established. A Lipschitz characterization of commutators of oscillatory integral operators with smooth C-Z Kernel is given. Also, the boundedness of commutators formed by oscillatory integral operators with standard C-Z Kernel and Lipschitz functions is obtained.

Key words:  oscillatory integral operator; commutator; Lipschitz function; Calderon-Zygmund kernel

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